Observer design method for nonlinear generalized systems with nonlinear algebraic constraints with applications
This paper proposes a new method to estimate the state of nonlinear generalized systems subject to nonlinear algebraic constraints via H∞ observers. Compared with previous research, the proposed approach relaxes the linear algebraic constraint and the infinite observability, making it applicable to...
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| Published in | Automatica (Oxford) Vol. 162; p. 111512 |
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| Main Authors | , , , , , |
| Format | Journal Article |
| Language | English |
| Published |
Elsevier Ltd
01.04.2024
Elsevier |
| Subjects | |
| Online Access | Get full text |
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| Abstract | This paper proposes a new method to estimate the state of nonlinear generalized systems subject to nonlinear algebraic constraints via H∞ observers. Compared with previous research, the proposed approach relaxes the linear algebraic constraint and the infinite observability, making it applicable to a wider range of generalized systems. The generalized inverse technique for matrices avoids the additional structural requirements caused by the nonlinear algebraic constraints. Moreover, we assume an easier-to-implement rank condition than infinite observability, allowing for the handling of two different observability. Building on the above, the method can be extended to systems with nonlinear outputs after converting them to a suitable form. To validate the effectiveness of the proposed method, we demonstrate three practical applications, including observer designing for electromechanical systems, Lithium batteries, and vehicles. |
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| AbstractList | This paper proposes a new method to estimate the state of nonlinear generalized systems subject to nonlinear algebraic constraints via H∞ observers. Compared with previous research, the proposed approach relaxes the linear algebraic constraint and the infinite observability, making it applicable to a wider range of generalized systems. The generalized inverse technique for matrices avoids the additional structural requirements caused by the nonlinear algebraic constraints. Moreover, we assume an easier-to-implement rank condition than infinite observability, allowing for the handling of two different observability. Building on the above, the method can be extended to systems with nonlinear outputs after converting them to a suitable form. To validate the effectiveness of the proposed method, we demonstrate three practical applications, including observer designing for electromechanical systems, Lithium batteries, and vehicles. This paper proposes a new method to estimate the state of nonlinear generalized systems subject to nonlinear algebraic constraints via $H_\infty$ observers. Compared with previous research, the proposed approach relaxes the linear algebraic constraint and the infinite observability, making it applicable to a wider range of generalized systems. The generalized inverse technique for matrices avoids the additional structural requirements caused by the nonlinear algebraic constraints. Moreover, we assume an easier-to-implement rank condition than infinite observability, allowing for the handling of two different observability. Building on the above, the method can be extended to systems with nonlinear outputs after converting them to a suitable form. To validate the effectiveness of the proposed method, we demonstrate three practical applications, including observer designing for electromechanical systems, Lithium batteries, and vehicles. |
| ArticleNumber | 111512 |
| Author | Meng, Fanwei Zemouche, Ali Meng, Shengya Li, Qi Zhang, Yu Zhang, Fan |
| Author_xml | – sequence: 1 givenname: Shengya surname: Meng fullname: Meng, Shengya email: 2001944@stu.neu.edu.cn organization: School of Control Engineering, Northeastern University at Qinhuangdao, Qinhuangdao, 066000, China – sequence: 2 givenname: Fanwei surname: Meng fullname: Meng, Fanwei email: mengfanwei@neuq.edu.cn organization: School of Control Engineering, Northeastern University at Qinhuangdao, Qinhuangdao, 066000, China – sequence: 3 givenname: Fan surname: Zhang fullname: Zhang, Fan email: zhangfan6@mail.sysu.edu.cn organization: School of Aeronautics and Astronautics, Sun Yat-sen University, Shenzhen 518107, China – sequence: 4 givenname: Qi surname: Li fullname: Li, Qi email: 2272262@stu.neu.edu.cn organization: School of Control Engineering, Northeastern University at Qinhuangdao, Qinhuangdao, 066000, China – sequence: 5 givenname: Yu surname: Zhang fullname: Zhang, Yu email: 2272330@stu.neu.edu.cn organization: School of Control Engineering, Northeastern University at Qinhuangdao, Qinhuangdao, 066000, China – sequence: 6 givenname: Ali surname: Zemouche fullname: Zemouche, Ali email: ali.zemouche@univ-lorraine.fr organization: University of Lorraine, CRAN UMR CNRS 7039, 54400 Cosnes et Romain, France |
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| Cites_doi | 10.1016/j.automatica.2015.04.017 10.1016/j.electacta.2020.137093 10.1109/TAC.2011.2164820 10.1111/j.1934-6093.2005.tb00398.x 10.1155/2011/967571 10.1080/00207721.2018.1503357 10.1016/j.jfranklin.2014.08.019 10.1515/fca-2016-0041 10.1080/00207179.2019.1600031 10.1016/j.automatica.2017.02.021 10.1016/j.amc.2019.124588 10.1080/00207721.2017.1280552 10.1080/00207179.2011.643241 10.1007/s11071-020-05843-9 10.1016/j.automatica.2011.08.037 10.1109/TAC.1981.1102699 10.1186/s40064-016-2208-3 10.1002/rnc.5233 10.1109/TAC.2006.878784 10.1093/imamci/dny032 10.1109/TSP.2006.870579 10.1016/j.isatra.2016.12.004 10.3182/20120710-4-SG-2026.00167 10.1109/TAC.2018.2882417 10.1002/rnc.4331 10.1109/TAC.2017.2665699 10.1002/oca.2028 10.1016/j.automatica.2016.04.002 10.1109/TIE.2012.2236994 10.1109/TII.2012.2226896 10.1109/TMECH.2013.2254495 10.1007/s40815-019-00613-1 10.1016/j.amc.2018.12.071 10.1109/TFUZZ.2018.2802458 10.1137/15M1035355 10.1177/0142331219834990 10.1049/iet-cta.2020.0059 10.1109/TAC.2015.2408554 10.1080/00207170903329599 |
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| Keywords | Nonlinear output Nonlinear generalized system H∞ observer design LMI approach Matrix generalized inverse |
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| References | Moysis, Gupta, Mishra, Marwan, Volos (b24) 2020; 30 Phanomchoeng, Zemouche, Jeon, Rajamani, Mazenc (b30) 2018 Raïssi, Efimov, Zolghadri (b32) 2011; 57 Boutat-Baddas, Osorio-Gordillo, Darouach (b8) 2021; 94 Li, Zhou, Yu (b21) 2013; 9 Ma, Yang, Yan, Zhang (b22) 2017; 67 Shaheen, Nazir, Rehan, Ahmad (b35) 2020; 365 Yeu, Kim, Kawaji (b39) 2008; 7 Zemouche, Zhang, Mazenc, Rajamani (b41) 2019; 64 Debeljkovic (b15) 2004; 11 Chaouche, Zemouche, Ramdani, Chaib Draa, Delattre (b13) 2022 Darouach, Boutat-Baddas, Zerrougui (b14) 2011; 47 Sahereh, Aliakbar, Ali (b34) 2017; 80 Yang, Zhang, Chai (b37) 2013; 34 Zhang, Swain, Nguang (b44) 2014; 351 Arezki, Zemouche, Bedouhene, Alessandri (b2) 2020; 14 Pertew, Marquez, Zhao (b28) 2006; 51 Zhan, Ma (b43) 2019; 41 Chan, Lee, Tan (b9) 2020; 101 Zerrougui, Boutat-Baddas, Darouach (b42) 2011; 2011 Duan (b16) 2010; vol. 23 Kaczorek (b19) 2016; 19 Yang, Zhang, Zhou (b38) 2013 Stefanovski (b36) 2010; 83 Masoudi, McPhee (b23) 2021; 365 Li, Zhang, Yan, Spurgeon (b20) 2018; 26 Ooi, Tan, Nurzaman, Ng (b26) 2017; 62 Nguyen, Nguyen, Dequidt, Vermeiren, Dambrine (b25) 2019; 21 Rajamani (b33) 2012 Benhammouda (b5) 2016; 5 Zheng, Efimov, Bejarano, Perruquetti, Wang (b45) 2016; 71 Chan, Tan, Trinh (b10) 2017; 48 Chang, Yen (b12) 2012; 85 Phanomchoeng, Rajamani (b29) 2014; 19 Gupta, Tomar, Darouach (b18) 2018; 28 Puranik, Bavdekar, Patwardhan, Shah (b31) 2012; 45 Osorio-Gordillo, Astorga-Zaragoza, Pérez Estrada, Vargas-Méndez, Darouach, Boutat-Baddas (b27) 2018; 49 Alessandri, Rossi (b1) 2015; 57 Yip, Sincovec (b40) 1981; 26 Astolfi, Marconi (b3) 2015; 60 Berger, Reis (b6) 2017; 55 Gao, Ho (b17) 2006; 54 Berger, Reis (b7) 2019; 36 Auger, Hilairet, Guerrero, Monmasson, Orlowska-Kowalska, Katsura (b4) 2013; 60 Chan, Tan, Trinh, Kamal, Chiew (b11) 2019; 350 Berger (10.1016/j.automatica.2024.111512_b6) 2017; 55 Li (10.1016/j.automatica.2024.111512_b21) 2013; 9 Astolfi (10.1016/j.automatica.2024.111512_b3) 2015; 60 Masoudi (10.1016/j.automatica.2024.111512_b23) 2021; 365 Duan (10.1016/j.automatica.2024.111512_b16) 2010; vol. 23 Zhang (10.1016/j.automatica.2024.111512_b44) 2014; 351 Benhammouda (10.1016/j.automatica.2024.111512_b5) 2016; 5 Ma (10.1016/j.automatica.2024.111512_b22) 2017; 67 Chan (10.1016/j.automatica.2024.111512_b9) 2020; 101 Puranik (10.1016/j.automatica.2024.111512_b31) 2012; 45 Alessandri (10.1016/j.automatica.2024.111512_b1) 2015; 57 Arezki (10.1016/j.automatica.2024.111512_b2) 2020; 14 Nguyen (10.1016/j.automatica.2024.111512_b25) 2019; 21 Zemouche (10.1016/j.automatica.2024.111512_b41) 2019; 64 Phanomchoeng (10.1016/j.automatica.2024.111512_b29) 2014; 19 Auger (10.1016/j.automatica.2024.111512_b4) 2013; 60 Chaouche (10.1016/j.automatica.2024.111512_b13) 2022 Phanomchoeng (10.1016/j.automatica.2024.111512_b30) 2018 Chan (10.1016/j.automatica.2024.111512_b11) 2019; 350 Pertew (10.1016/j.automatica.2024.111512_b28) 2006; 51 Berger (10.1016/j.automatica.2024.111512_b7) 2019; 36 Raïssi (10.1016/j.automatica.2024.111512_b32) 2011; 57 Kaczorek (10.1016/j.automatica.2024.111512_b19) 2016; 19 Debeljkovic (10.1016/j.automatica.2024.111512_b15) 2004; 11 Ooi (10.1016/j.automatica.2024.111512_b26) 2017; 62 Yip (10.1016/j.automatica.2024.111512_b40) 1981; 26 Zheng (10.1016/j.automatica.2024.111512_b45) 2016; 71 Moysis (10.1016/j.automatica.2024.111512_b24) 2020; 30 Darouach (10.1016/j.automatica.2024.111512_b14) 2011; 47 Gupta (10.1016/j.automatica.2024.111512_b18) 2018; 28 Yeu (10.1016/j.automatica.2024.111512_b39) 2008; 7 Zerrougui (10.1016/j.automatica.2024.111512_b42) 2011; 2011 Yang (10.1016/j.automatica.2024.111512_b37) 2013; 34 Shaheen (10.1016/j.automatica.2024.111512_b35) 2020; 365 Chan (10.1016/j.automatica.2024.111512_b10) 2017; 48 Gao (10.1016/j.automatica.2024.111512_b17) 2006; 54 Sahereh (10.1016/j.automatica.2024.111512_b34) 2017; 80 Li (10.1016/j.automatica.2024.111512_b20) 2018; 26 Rajamani (10.1016/j.automatica.2024.111512_b33) 2012 Stefanovski (10.1016/j.automatica.2024.111512_b36) 2010; 83 Yang (10.1016/j.automatica.2024.111512_b38) 2013 Boutat-Baddas (10.1016/j.automatica.2024.111512_b8) 2021; 94 Chang (10.1016/j.automatica.2024.111512_b12) 2012; 85 Zhan (10.1016/j.automatica.2024.111512_b43) 2019; 41 Osorio-Gordillo (10.1016/j.automatica.2024.111512_b27) 2018; 49 |
| References_xml | – volume: 5 start-page: 590 year: 2016 ident: b5 article-title: A novel technique to solve nonlinear higher-index Hessenberg differential calgebraic equations by Adomian decomposition method publication-title: SpringerPlus – volume: 54 start-page: 1316 year: 2006 end-page: 1326 ident: b17 article-title: State/noise estimator for descriptor systems with application to sensor fault diagnosis publication-title: IEEE Transactions on Signal Processing – volume: 48 start-page: 1646 year: 2017 end-page: 1655 ident: b10 article-title: Robust fault reconstruction for a class of infinitely unobservable descriptor systems publication-title: International Journal of Systems Science – volume: 34 start-page: 348 year: 2013 end-page: 363 ident: b37 article-title: Nonlinear observers for a class of nonlinear descriptor systems publication-title: Optimal Control Applications and Methods – volume: vol. 23 year: 2010 ident: b16 publication-title: Analysis and design of descriptor linear systems – start-page: 5952 year: 2018 end-page: 5956 ident: b30 article-title: observer for descriptor nonlinear systems with nonlinear output equations publication-title: 2018 annual american control conference – volume: 45 start-page: 531 year: 2012 end-page: 536 ident: b31 article-title: An ensemble Kalman filter for systems governed by differential algebraic equations (DAEs) publication-title: IFAC Proceedings Volumes – volume: 55 start-page: 3564 year: 2017 end-page: 3591 ident: b6 article-title: Observers and dynamic controllers for linear differential-algebraic systems publication-title: SIAM Journal on Control and Optimization – volume: 14 start-page: 1648 year: 2020 end-page: 1655 ident: b2 article-title: State observer design method for a class of non-linear systems publication-title: IET Control Theory & Applications – volume: 85 start-page: 194 year: 2012 end-page: 212 ident: b12 article-title: Robust tracking control for a class of electrically driven flexible-joint robots without velocity measurements publication-title: International Journal of Control – volume: 83 start-page: 585 year: 2010 end-page: 600 ident: b36 article-title: LQ control of descriptor systems: A spectral factorisation approach publication-title: International Journal of Control – volume: 51 start-page: 1211 year: 2006 end-page: 1216 ident: b28 article-title: observer design for Lipschitz nonlinear systems publication-title: IEEE Transactions on Automatic Control – year: 2012 ident: b33 publication-title: Vehicle dynamics and control – volume: 350 start-page: 78 year: 2019 end-page: 92 ident: b11 article-title: Robust fault reconstruction for a class of non-infinitely observable descriptor systems using two sliding mode observers in cascade publication-title: Applied Mathematics and Computation – volume: 2011 start-page: 1 year: 2011 end-page: 8 ident: b42 article-title: observers design for a class of continuous time nonlinear singular systems publication-title: Journal of Control Science and Engineering – volume: 36 start-page: 1375 year: 2019 end-page: 1393 ident: b7 article-title: ODE observers for DAE systems publication-title: IMA Journal of Mathematical Control and Information – year: 2022 ident: b13 article-title: Unknown input estimation algorithms for a class of LPV/nonlinear systems with application to wastewater treatment process publication-title: Proceedings of the Institution of Mechanical Engineers, Part I: Journal of Systems and Control Engineering – volume: 19 start-page: 775 year: 2016 end-page: 784 ident: b19 article-title: Perfect nonlinear observers of fractional descriptor continuous-time nonlinear systems publication-title: Fractional Calculus & Applied Analysis – volume: 365 year: 2021 ident: b23 article-title: Application of karhunen–loéve decomposition and piecewise linearization to a physics-based battery model publication-title: Electrochimica Acta – volume: 9 start-page: 1879 year: 2013 end-page: 1891 ident: b21 article-title: Design and implementation of terminal sliding mode control method for PMSM speed regulation system publication-title: IEEE Transactions on Industrial Informatics – volume: 11 start-page: 691 year: 2004 end-page: 706 ident: b15 article-title: Singular control systems publication-title: Dynamics of Continuous Discrete and Impulsive Systems Series A – volume: 7 start-page: 356 year: 2008 end-page: 367 ident: b39 article-title: Fault detection, isolation and reconstruction for descriptor systems publication-title: Asian Journal of Control – volume: 26 start-page: 702 year: 1981 end-page: 707 ident: b40 article-title: Solvability, controllability, and observability of continuous descriptor systems publication-title: IEEE Transactions on Automatic Control – volume: 71 start-page: 159 year: 2016 end-page: 168 ident: b45 article-title: Interval observer for a class of uncertain nonlinear singular systems publication-title: Automatica – volume: 67 start-page: 9 year: 2017 end-page: 18 ident: b22 article-title: Robust observer-based passive control for uncertain singular time-delay systems subject to actuator saturation publication-title: ISA Transactions – volume: 101 start-page: 1023 year: 2020 end-page: 1036 ident: b9 article-title: A sliding mode observer for robust fault reconstruction in a class of nonlinear non-infinitely observable descriptor systems publication-title: Nonlinear Dynamics – volume: 26 start-page: 2818 year: 2018 end-page: 2832 ident: b20 article-title: Observer-based fuzzy integral sliding mode control for nonlinear descriptor systems publication-title: IEEE Transactions on Fuzzy Systems – volume: 47 start-page: 2517 year: 2011 end-page: 2525 ident: b14 article-title: observers design for a class of nonlinear singular systems publication-title: Automatica – volume: 64 start-page: 3194 year: 2019 end-page: 3209 ident: b41 article-title: High-gain nonlinear observer with lower tuning parameter publication-title: IEEE Transactions on Automatic Control – volume: 62 start-page: 3580 year: 2017 end-page: 3587 ident: b26 article-title: A sliding mode observer for infinitely unobservable descriptor systems publication-title: IEEE Transactions on Automatic Control – volume: 28 start-page: 5481 year: 2018 end-page: 5494 ident: b18 article-title: Unknown inputs observer design for descriptor systems with monotone nonlinearities publication-title: International Journal of Robust and Nonlinear Control – year: 2013 ident: b38 article-title: Observer design for nonlinear singular systems. Vol. 435 – volume: 351 start-page: 5162 year: 2014 end-page: 5181 ident: b44 article-title: Robust publication-title: Journal of the Franklin Institute – volume: 60 start-page: 5458 year: 2013 end-page: 5471 ident: b4 article-title: Industrial applications of the Kalman filter: A review publication-title: IEEE Transactions on Industrial Electronics – volume: 60 start-page: 3059 year: 2015 end-page: 3064 ident: b3 article-title: A high-gain nonlinear observer with limited gain power publication-title: IEEE Transactions on Automatic Control – volume: 80 start-page: 88 year: 2017 end-page: 94 ident: b34 article-title: filtering for descriptor systems with strict LMI conditions publication-title: Automatica – volume: 365 year: 2020 ident: b35 article-title: Robust generalized observer design for uncertain one-sided Lipschitz systems publication-title: Applied Mathematics and Computation – volume: 57 start-page: 260 year: 2011 end-page: 265 ident: b32 article-title: Interval state estimation for a class of nonlinear systems publication-title: IEEE Transactions on Automatic Control – volume: 49 start-page: 2398 year: 2018 end-page: 2409 ident: b27 article-title: Fault estimation for descriptor linear systems based on the generalised dynamic observer publication-title: International Journal of Systems Science – volume: 41 start-page: 3705 year: 2019 end-page: 3713 ident: b43 article-title: Reduced-order observer design with unknown input for fractional order descriptor nonlinear systems publication-title: Transactions of the Institute of Measurement and Control – volume: 57 start-page: 180 year: 2015 end-page: 188 ident: b1 article-title: Increasing-gain observers for nonlinear systems: Stability and design publication-title: Automatica – volume: 30 start-page: 8139 year: 2020 end-page: 8158 ident: b24 article-title: Observer design for rectangular descriptor systems with incremental quadratic constraints and nonlinear outputs–application to secure communications publication-title: International Journal of Robust and Nonlinear Control – volume: 94 start-page: 558 year: 2021 end-page: 569 ident: b8 article-title: dynamic observers for a class of nonlinear systems with unknown inputs publication-title: International Journal of Control – volume: 19 start-page: 743 year: 2014 end-page: 754 ident: b29 article-title: Real-time estimation of rollover index for tripped rollovers with a novel unknown input nonlinear observer publication-title: IEEE/ASME Transactions on Mechatronics – volume: 21 start-page: 1038 year: 2019 end-page: 1050 ident: b25 article-title: Nonlinear tracking control with reduced complexity of serial robots: A robust fuzzy descriptor approach publication-title: International Journal of Fuzzy Systems – volume: 57 start-page: 180 year: 2015 ident: 10.1016/j.automatica.2024.111512_b1 article-title: Increasing-gain observers for nonlinear systems: Stability and design publication-title: Automatica doi: 10.1016/j.automatica.2015.04.017 – start-page: 5952 year: 2018 ident: 10.1016/j.automatica.2024.111512_b30 article-title: H∞ observer for descriptor nonlinear systems with nonlinear output equations – volume: 365 year: 2021 ident: 10.1016/j.automatica.2024.111512_b23 article-title: Application of karhunen–loéve decomposition and piecewise linearization to a physics-based battery model publication-title: Electrochimica Acta doi: 10.1016/j.electacta.2020.137093 – volume: 57 start-page: 260 issue: 1 year: 2011 ident: 10.1016/j.automatica.2024.111512_b32 article-title: Interval state estimation for a class of nonlinear systems publication-title: IEEE Transactions on Automatic Control doi: 10.1109/TAC.2011.2164820 – volume: 7 start-page: 356 issue: 4 year: 2008 ident: 10.1016/j.automatica.2024.111512_b39 article-title: Fault detection, isolation and reconstruction for descriptor systems publication-title: Asian Journal of Control doi: 10.1111/j.1934-6093.2005.tb00398.x – volume: 2011 start-page: 1 year: 2011 ident: 10.1016/j.automatica.2024.111512_b42 article-title: H∞ observers design for a class of continuous time nonlinear singular systems publication-title: Journal of Control Science and Engineering doi: 10.1155/2011/967571 – year: 2012 ident: 10.1016/j.automatica.2024.111512_b33 – year: 2013 ident: 10.1016/j.automatica.2024.111512_b38 – volume: 49 start-page: 2398 issue: 11 year: 2018 ident: 10.1016/j.automatica.2024.111512_b27 article-title: Fault estimation for descriptor linear systems based on the generalised dynamic observer publication-title: International Journal of Systems Science doi: 10.1080/00207721.2018.1503357 – volume: 351 start-page: 5162 issue: 11 year: 2014 ident: 10.1016/j.automatica.2024.111512_b44 article-title: Robust H∞ adaptive descriptor observer design for fault estimation of uncertain nonlinear systems publication-title: Journal of the Franklin Institute doi: 10.1016/j.jfranklin.2014.08.019 – volume: 19 start-page: 775 issue: 3 year: 2016 ident: 10.1016/j.automatica.2024.111512_b19 article-title: Perfect nonlinear observers of fractional descriptor continuous-time nonlinear systems publication-title: Fractional Calculus & Applied Analysis doi: 10.1515/fca-2016-0041 – volume: 94 start-page: 558 issue: 3 year: 2021 ident: 10.1016/j.automatica.2024.111512_b8 article-title: H∞ dynamic observers for a class of nonlinear systems with unknown inputs publication-title: International Journal of Control doi: 10.1080/00207179.2019.1600031 – volume: 80 start-page: 88 year: 2017 ident: 10.1016/j.automatica.2024.111512_b34 article-title: H∞ filtering for descriptor systems with strict LMI conditions publication-title: Automatica doi: 10.1016/j.automatica.2017.02.021 – volume: 365 year: 2020 ident: 10.1016/j.automatica.2024.111512_b35 article-title: Robust generalized observer design for uncertain one-sided Lipschitz systems publication-title: Applied Mathematics and Computation doi: 10.1016/j.amc.2019.124588 – volume: 48 start-page: 1646 issue: 8 year: 2017 ident: 10.1016/j.automatica.2024.111512_b10 article-title: Robust fault reconstruction for a class of infinitely unobservable descriptor systems publication-title: International Journal of Systems Science doi: 10.1080/00207721.2017.1280552 – volume: 85 start-page: 194 issue: 2 year: 2012 ident: 10.1016/j.automatica.2024.111512_b12 article-title: Robust tracking control for a class of electrically driven flexible-joint robots without velocity measurements publication-title: International Journal of Control doi: 10.1080/00207179.2011.643241 – volume: 101 start-page: 1023 issue: 2 year: 2020 ident: 10.1016/j.automatica.2024.111512_b9 article-title: A sliding mode observer for robust fault reconstruction in a class of nonlinear non-infinitely observable descriptor systems publication-title: Nonlinear Dynamics doi: 10.1007/s11071-020-05843-9 – volume: 47 start-page: 2517 issue: 11 year: 2011 ident: 10.1016/j.automatica.2024.111512_b14 article-title: H∞ observers design for a class of nonlinear singular systems publication-title: Automatica doi: 10.1016/j.automatica.2011.08.037 – volume: 26 start-page: 702 issue: 3 year: 1981 ident: 10.1016/j.automatica.2024.111512_b40 article-title: Solvability, controllability, and observability of continuous descriptor systems publication-title: IEEE Transactions on Automatic Control doi: 10.1109/TAC.1981.1102699 – volume: 5 start-page: 590 issue: 1 year: 2016 ident: 10.1016/j.automatica.2024.111512_b5 article-title: A novel technique to solve nonlinear higher-index Hessenberg differential calgebraic equations by Adomian decomposition method publication-title: SpringerPlus doi: 10.1186/s40064-016-2208-3 – volume: 30 start-page: 8139 issue: 18 year: 2020 ident: 10.1016/j.automatica.2024.111512_b24 article-title: Observer design for rectangular descriptor systems with incremental quadratic constraints and nonlinear outputs–application to secure communications publication-title: International Journal of Robust and Nonlinear Control doi: 10.1002/rnc.5233 – volume: 51 start-page: 1211 issue: 7 year: 2006 ident: 10.1016/j.automatica.2024.111512_b28 article-title: H∞ observer design for Lipschitz nonlinear systems publication-title: IEEE Transactions on Automatic Control doi: 10.1109/TAC.2006.878784 – year: 2022 ident: 10.1016/j.automatica.2024.111512_b13 article-title: Unknown input estimation algorithms for a class of LPV/nonlinear systems with application to wastewater treatment process publication-title: Proceedings of the Institution of Mechanical Engineers, Part I: Journal of Systems and Control Engineering – volume: 36 start-page: 1375 issue: 4 year: 2019 ident: 10.1016/j.automatica.2024.111512_b7 article-title: ODE observers for DAE systems publication-title: IMA Journal of Mathematical Control and Information doi: 10.1093/imamci/dny032 – volume: 54 start-page: 1316 issue: 4 year: 2006 ident: 10.1016/j.automatica.2024.111512_b17 article-title: State/noise estimator for descriptor systems with application to sensor fault diagnosis publication-title: IEEE Transactions on Signal Processing doi: 10.1109/TSP.2006.870579 – volume: 67 start-page: 9 year: 2017 ident: 10.1016/j.automatica.2024.111512_b22 article-title: Robust observer-based passive control for uncertain singular time-delay systems subject to actuator saturation publication-title: ISA Transactions doi: 10.1016/j.isatra.2016.12.004 – volume: 11 start-page: 691 year: 2004 ident: 10.1016/j.automatica.2024.111512_b15 article-title: Singular control systems publication-title: Dynamics of Continuous Discrete and Impulsive Systems Series A – volume: 45 start-page: 531 issue: 15 year: 2012 ident: 10.1016/j.automatica.2024.111512_b31 article-title: An ensemble Kalman filter for systems governed by differential algebraic equations (DAEs) publication-title: IFAC Proceedings Volumes doi: 10.3182/20120710-4-SG-2026.00167 – volume: 64 start-page: 3194 issue: 8 year: 2019 ident: 10.1016/j.automatica.2024.111512_b41 article-title: High-gain nonlinear observer with lower tuning parameter publication-title: IEEE Transactions on Automatic Control doi: 10.1109/TAC.2018.2882417 – volume: 28 start-page: 5481 issue: 17 year: 2018 ident: 10.1016/j.automatica.2024.111512_b18 article-title: Unknown inputs observer design for descriptor systems with monotone nonlinearities publication-title: International Journal of Robust and Nonlinear Control doi: 10.1002/rnc.4331 – volume: 62 start-page: 3580 issue: 7 year: 2017 ident: 10.1016/j.automatica.2024.111512_b26 article-title: A sliding mode observer for infinitely unobservable descriptor systems publication-title: IEEE Transactions on Automatic Control doi: 10.1109/TAC.2017.2665699 – volume: 34 start-page: 348 issue: 3 year: 2013 ident: 10.1016/j.automatica.2024.111512_b37 article-title: Nonlinear observers for a class of nonlinear descriptor systems publication-title: Optimal Control Applications and Methods doi: 10.1002/oca.2028 – volume: vol. 23 year: 2010 ident: 10.1016/j.automatica.2024.111512_b16 – volume: 71 start-page: 159 year: 2016 ident: 10.1016/j.automatica.2024.111512_b45 article-title: Interval observer for a class of uncertain nonlinear singular systems publication-title: Automatica doi: 10.1016/j.automatica.2016.04.002 – volume: 60 start-page: 5458 issue: 12 year: 2013 ident: 10.1016/j.automatica.2024.111512_b4 article-title: Industrial applications of the Kalman filter: A review publication-title: IEEE Transactions on Industrial Electronics doi: 10.1109/TIE.2012.2236994 – volume: 9 start-page: 1879 issue: 4 year: 2013 ident: 10.1016/j.automatica.2024.111512_b21 article-title: Design and implementation of terminal sliding mode control method for PMSM speed regulation system publication-title: IEEE Transactions on Industrial Informatics doi: 10.1109/TII.2012.2226896 – volume: 19 start-page: 743 issue: 2 year: 2014 ident: 10.1016/j.automatica.2024.111512_b29 article-title: Real-time estimation of rollover index for tripped rollovers with a novel unknown input nonlinear observer publication-title: IEEE/ASME Transactions on Mechatronics doi: 10.1109/TMECH.2013.2254495 – volume: 21 start-page: 1038 issue: 4 year: 2019 ident: 10.1016/j.automatica.2024.111512_b25 article-title: Nonlinear tracking control with reduced complexity of serial robots: A robust fuzzy descriptor approach publication-title: International Journal of Fuzzy Systems doi: 10.1007/s40815-019-00613-1 – volume: 350 start-page: 78 year: 2019 ident: 10.1016/j.automatica.2024.111512_b11 article-title: Robust fault reconstruction for a class of non-infinitely observable descriptor systems using two sliding mode observers in cascade publication-title: Applied Mathematics and Computation doi: 10.1016/j.amc.2018.12.071 – volume: 26 start-page: 2818 issue: 5 year: 2018 ident: 10.1016/j.automatica.2024.111512_b20 article-title: Observer-based fuzzy integral sliding mode control for nonlinear descriptor systems publication-title: IEEE Transactions on Fuzzy Systems doi: 10.1109/TFUZZ.2018.2802458 – volume: 55 start-page: 3564 issue: 6 year: 2017 ident: 10.1016/j.automatica.2024.111512_b6 article-title: Observers and dynamic controllers for linear differential-algebraic systems publication-title: SIAM Journal on Control and Optimization doi: 10.1137/15M1035355 – volume: 41 start-page: 3705 issue: 13 year: 2019 ident: 10.1016/j.automatica.2024.111512_b43 article-title: Reduced-order observer design with unknown input for fractional order descriptor nonlinear systems publication-title: Transactions of the Institute of Measurement and Control doi: 10.1177/0142331219834990 – volume: 14 start-page: 1648 issue: 12 year: 2020 ident: 10.1016/j.automatica.2024.111512_b2 article-title: State observer design method for a class of non-linear systems publication-title: IET Control Theory & Applications doi: 10.1049/iet-cta.2020.0059 – volume: 60 start-page: 3059 issue: 11 year: 2015 ident: 10.1016/j.automatica.2024.111512_b3 article-title: A high-gain nonlinear observer with limited gain power publication-title: IEEE Transactions on Automatic Control doi: 10.1109/TAC.2015.2408554 – volume: 83 start-page: 585 issue: 3 year: 2010 ident: 10.1016/j.automatica.2024.111512_b36 article-title: LQ control of descriptor systems: A spectral factorisation approach publication-title: International Journal of Control doi: 10.1080/00207170903329599 |
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| SubjectTerms | [formula omitted] observer design Automatic Engineering Sciences LMI approach Matrix generalized inverse Nonlinear generalized system Nonlinear output |
| Title | Observer design method for nonlinear generalized systems with nonlinear algebraic constraints with applications |
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